Reading One-Sided Limits from a Graph III
Difficulty: Medium · Topics: Calculus, Limits, Graphs
Grafikdan bir tomonlama limitlarni o‘qish III
The graph of y=f(x) is shown below.
graph "x":[-4.2,8.4],"y":[-1.8,6.2],"xTicks":[-3,-2,2,4,7],"yTicks":[1,2,5],"label":"Graph of y = f(x): a line up to an open point at (-2, 1), a curve from (-2, 2) to (2, 5), a flat piece from (2, 2) to (4, 2), then a line through (7, 5)","items":["type":"ray","from":[-2,1],"to":[-4.1,-1.1],"start":"open","type":"curve","points":[[-2,2.0],[-1.97,2.26],[-1.9,2.474],[-1.8,2.671],[-1.6,2.949],[-1.3,3.255],[-1,3.5],[-0.5,3.837],[0,4.121],[0.5,4.372],[1,4.598],[1.5,4.806],[2,5.0]],"start":"open","end":"open","type":"line","from":[2,2],"to":[4,2],"start":"closed","type":"ray","from":[4,2],"to":[8.2,6.2],"type":"guide","at":[-2,2],"type":"guide","at":[-2,1],"type":"guide","at":[2,5],"type":"guide","at":[2,2],"type":"guide","at":[7,5],"type":"guide","at":[4,2],"to":"x","type":"label","at":[5.3,5.75],"text":"y = f(x)"]
Find the value of
frac lim x→ -2^+f( x )· f(- x ) lim x→ -4^- f(x) ·lim x→ 1^-f≤ft(-3+x^2 ).
y=f(x) ning grafigi quyida ko‘rsatilgan.
graph "x":[-4.2,8.4],"y":[-1.8,6.2],"xTicks":[-3,-2,2,4,7],"yTicks":[1,2,5],"label":"Graph of y = f(x): a line up to an open point at (-2, 1), a curve from (-2, 2) to (2, 5), a flat piece from (2, 2) to (4, 2), then a line through (7, 5)","items":["type":"ray","from":[-2,1],"to":[-4.1,-1.1],"start":"open","type":"curve","points":[[-2,2.0],[-1.97,2.26],[-1.9,2.474],[-1.8,2.671],[-1.6,2.949],[-1.3,3.255],[-1,3.5],[-0.5,3.837],[0,4.121],[0.5,4.372],[1,4.598],[1.5,4.806],[2,5.0]],"start":"open","end":"open","type":"line","from":[2,2],"to":[4,2],"start":"closed","type":"ray","from":[4,2],"to":[8.2,6.2],"type":"guide","at":[-2,2],"type":"guide","at":[-2,1],"type":"guide","at":[2,5],"type":"guide","at":[2,2],"type":"guide","at":[7,5],"type":"guide","at":[4,2],"to":"x","type":"label","at":[5.3,5.75],"text":"y = f(x)"]
Quyidagining qiymatini toping:
frac lim x→ -2^+f( x )· f(- x ) lim x→ -4^- f(x) ·lim x→ 1^-f≤ft(-3+x^2 ).